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This will introduce the topics of 3D volume and surface area, and also provide some challenging extension questions. A set of four worksheets on - Basic Skills (rounding, 2D perimeter and area, 3D volume and surface area) - Problems (real life problems involving volume and surface area of cuboids, cylinders, cones and spheres) - Units (converting between e.g. square metres and square centimetres) - Extensions to the Problems (revisiting the problems with converting units and more in-depth calculations) All provided with solutions. Also includes a Power Point for some revision

A set of worksheets building up to an investigation about the time it takes for an object to drop that can be done in the classroom to practice the skills learned. The sections are: - Basic Skills (factorising, simplifying fractions, solving equations) - Questions (rearranging linear formulas, quadratic formulas, and more difficult formulas too) - Investigation (how long it takes a ball to drop, using a formula and testing it) All provided with full solutions

A series of four worksheets about domain, range and composite functions. There is many lessons work here with lots of practice. The four parts are: - Domain and Range - Composite Functions - Further Functions (combining domain, range, composite) - Extension (proofs about linear functions) All provided with full solutions

A series of four worksheets to give some background algebra, do plenty of examples finding a limit, then for advanced pupils go on to find a general formula for a linear sequence. If you follow this through you will be able to instantly work out the value of the 50th term of u_n+1 = 0.4 u_n +3 (for example). The four worksheets are: - Indices (practice on this) - Algebra (rearranging formula) - Sequences (standard questions on finding limits, and graphing the results) - Investigation (putting it all together to get a general formula) All provided with full solutions.

This resource is designed to give pupils much-needed practice on where points move after a transformation, for example: Where does the point (2,4) on the graph f(x) appear on the graph 3f(x)+1? The first questions are basic practice then pupils look at progressively more complicated graphs, including some practice finding the turning points and range and domain. Provided with solutions.

A series of questions to practice learning about the straight line. Each one is based on a real life linear relationship, which pupils investigate. For a good class will take about an hour to do thoroughly Skills used: - drawing graph from data points - working out the gradient - working out the y-intercept - working out the equation of a line from the graph - using the equation to interpolate missing points Full solutions included

A six-page worksheet with hundreds of questions broken down into topics, with a key rule followed by practice questions. It starts simple with positive indices then covers all other areas. Topics are: - multiplying and dividing - powers of powers - numbers in brackets - numbers and letters - to the power zero and one - negative powers - square roots - fractional powers - fractional negative powers Provided with answers in the same document. I wrote this as I couldn’t find any other resource that takes pupils slowly through all the different types of question. Edit: added Indices Summary Powerpoint/PDF which I print out to give to pupils.

Each poster has a different mathematician on it, with a picture, biography, quote and puzzle. The puzzles get harder during the week.

A fast paced relay testing understanding of ratio in unusual and interesting situations. Print out multiple copies of the questions (ideally laminated) and get each pair of pupils started on a copy of Question One. Once they bring you the right answer to that, given them Question Two and so on. All answers should be fully simplified.

An interactive Who Wants to Be a Millionaire game focused on numeracy questions. The questions near the end get very tricky! They are on the following topics - percentage, area, ratio, factorising, probability, volume, negative numbers, difference of squares, scale factors, angles, sequences, DST I normally do this with pupils writing their letters on mini-whiteboards before the right answer is displayed, and you can also do something with the lifelines if you like.

A presentation and questions for pupils to consider what makes maths problems hard? They will then be better equipped to solve (and create) their own problems. The main way that problems are made more difficult are: - Make the numbers harder - Repeated application - Difficult vocabulary - Extra operation at start or end - Reverse the problem - Hide information in a story - Extraneous information

What do you do when there's not enough information to solve a problem - or too much? This presentation and activities aims to teach pupils how to handle more difficult problems when it's not clear what to do. There are multiple examples from algebra, geometry and trigonometry.

Nine provocative questions to get pupils thinking about infinity. Each one has footnotes on the Powerpoint to guide towards the answer. What are Zeno’s paradoxes? Is 0.9999999999999999999… the same as 1? What is the smallest decimal number more than 3? What is infinity plus one? What is Hilbert’s Hotel? If something is true for the first million numbers, is it true for all the numbers? What is 1 – 1 + 1 – 1 + 1 – 1 … equal to? Are some infinities bigger than others? Are there more: numbers, fractions, or decimals?

An interactive activity teaching pupils a few simple memory techniques

An investigation for pupils about the classic Four Colour Theorem. Some background and examples, then a chance for them to have a go at. Makes a change from the usual end-of-term colouring!

A fascinating activity encouraging pupils to think about 'Fixed Points', things that stay the same when there is a change. For example, in the doubling function 0 is a fixed point as doubling keeps it the same. These fixed points have surprising applications, including the amazing result that if you scrunch up one piece of paper and put it on top of a flat identical piece, at least one point is in the same place! Pupils are guided along with a presentation with things for them to think about along the way. Some of the language is GCSE level but the ideas are applicable for all ages.

The key to exam technique in mathematics is to solve each problem multiple times, using independent methods. You also want an independent check. Mathematicians hate to get things wrong! This presentation and activities will help your students from making mistakes.

This is a thought provoking activity about how many variables are needed to describe a shape. For example, if you don’t care about size, rotation or position all squares are the same. To define size, one variable is needed. To define rotation, one variable is needed. To define position in the 2D plane, two variables are needed. So to fully define any square requires four variables. There are many possible different choices for these four. (Updated 2023)

A short Powerpoint on common confusions such as 6 and 0, s and 5, ( and c and so on. Pupils are made aware of the pitfalls, and given tips for how to avoid them.

A worksheet with five real-life problems that require using very big or very small numbers - How far does the Earth travel in one second - How many Earth's fit in the sun - How long does it take for the Sun's light to reach us - How long does it take to get a radio signal to Mars - How many atoms are in the Earth These require a bit of other basic mathematical knowledge (e.g. area of circle) but mostly pupils are lead through each problem in stages. Full solutions included at the end.